arXiv (All)
open access
Linear-growth harmonic functions for nonsymmetric random walks on groups of polynomial growth
Let $G$ be a finitely generated group of polynomial growth and let $μ$ be an adapted, Abelian-centered probability measure with a finite exponential moment (not necessarily symmetric or finitely supported). We prove that every $μ$-harmonic function of at most linear growth is globally Lipschitz. In
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Comparison and Almost Finiteness for Actions of Amenable Groups#1049438
- Invariant random subgroups of $C^*$-simple groups#1123382
- Vanishing of $\ell^p$-cohomology and transportation cost#1328220
- The nonlinearity of restrictions of direct sums of monomials and of threshold functions#674687
- Small growth rates of free groups#1249416
Record · ID 1186391
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive